100220222120013 has 32 divisors (see below), whose sum is σ = 149401629861120. Its totient is φ = 66396433815360.

The previous prime is 100220222119991. The next prime is 100220222120023. The reversal of 100220222120013 is 310021222022001.

100220222120013 is a `hidden beast` number, since 10 + 0 + 220 + 2 + 221 + 200 + 13 = 666.

It is not a de Polignac number, because 100220222120013 - 2³⁰ = 100219148378189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220222120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14824543 + ... + 20498963.

It is an arithmetic number, because the mean of its divisors is an integer number (4668800933160).

Almost surely, 2^{100220222120013} is an apocalyptic number.

It is an amenable number.

100220222120013 is a deficient number, since it is larger than the sum of its proper divisors (49181407741107).

100220222120013 is a wasteful number, since it uses less digits than its factorization.

100220222120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678514 (or 5678508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100220222120013 its reverse (310021222022001), we get a palindrome (410241444142014).

The spelling of 100220222120013 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand, thirteen".